It probably would but I would not recommend it. Most shower door are made of glass and the towel rack moves when the towels are placed on it or taken off. You may accidentally break the glass of the shower door. These towel racks are made to be hung over a solid door like the bathroom or bedroom door. The door itself adds to the stability of the towel rack.
This is 18 inches wide
Patricia, Thank you for your question on the Franklin Brass Over-the-Door 3-Bar Towel Rack in Nickel. The height of the rack is 24.57". Best, Customer Care Team
by my calculations 6 1/2 inches from door.
by my calculations from inside the rod 17 1/2 inches.
The hooks from the top measure 25". The over the door hooks will NOT fit a door 1 3/4" thick. The most they will accommodate is 1 1/2 ".
Brushed nickel. It is a nice smooth finish